US 2026/0252748 A1 · MORTAR LINING WALL THICKNESS DESIGN METHOD AND DEVICE, AND PIPE REPAIRING METHOD AND DEVICE

A mortar lining wall thickness design method, comprising:

determining a first equivalent elasticity modulus of an existing pipe in a current state and a second equivalent elasticity modulus of the existing pipe reaching a repaired design service life based on defect data of the existing pipe;
determining a pipe top vertical deformation of the existing pipe reaching the repaired design service life based on a pipe top linear load on a unit length of the existing pipe and the second equivalent elasticity modulus;
determining an equivalent additional load needed to be applied to the existing pipe reaching the pipe top vertical deformation in the current state according to the first equivalent elasticity modulus, the second equivalent elasticity modulus, and the pipe top linear load;
determining a stress state parameter of the existing pipe repaired according to a mortar lining wall thickness assumed value based on the equivalent additional load and the mortar lining wall thickness assumed value;
and
comparing the stress state parameter with a standard strength parameter, and determining whether the mortar lining wall thickness assumed value is taken as a mortar lining target wall thickness value according to a comparative result;
wherein the determining a stress state parameter of the existing pipe repaired according to a mortar lining wall thickness assumed value based on the equivalent additional load and the mortar lining wall thickness assumed value comprises:
determining a pipe top section internal force of the repaired existing pipe under the action of the equivalent additional load based on the equivalent additional load;
and determining the stress state parameter of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value and the pipe top section internal force;
the pipe top section internal force comprises a pipe top section bending moment and a pipe top section shearing force;
the determining the stress state parameter of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value and the pipe top section internal force comprises:
determining a pipe top inner wall tensile stress of the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section bending moment, and attribute data of the existing pipe;
determining an interfacial tensile stress between the existing pipe and the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section bending moment, and the attribute data of the existing pipe;
and determining an interfacial shearing stress between the existing pipe and the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section shearing force, and the attribute data of the existing pipe, wherein the pipe top inner wall tensile stress, the interfacial tensile stress, and the interfacial shearing stress all belong to the stress state parameters;
wherein the pipe top section bending moment is determined by the following equation:
M
=
1
1
⁢
6
·
Δ
⁢
q
soil
⁢
D
2
,
where M represents the pipe top section bending moment, Δqsoil represents the equivalent additional load, and D represents a pipe outer diameter of the existing pipe;
the pipe top section shearing force is determined by the following equation:
F
Q
=
1
2
·
Δ
⁢
q
soil
⁢
D
,
where FQ is the pipe top section shearing force;
if an equivalent section inertia moment of the existing pipe in a service process does not change, the equivalent additional load is determined by the following equation:
Δ
⁢
q
soil
=
E
1
E
2
·
q
soil
,
Δqsoil is the equivalent additional load, E1 is the first equivalent elasticity modulus, E2 is the second equivalent elasticity modulus, and qsoil is the pipe top linear load;
if the equivalent section inertia moment of the existing pipe in the service process changes with increase of a service life, a first equivalent flexural rigidity of the existing pipe in the current state is determined in combination with a first equivalent section inertia moment and the first equivalent elasticity modulus of the existing pipe in the current state;
a second equivalent flexural rigidity of the existing pipe reaching the repaired design service life is determined in combination with a second equivalent section inertia moment of the existing pipe reaching the repaired design service life and the second equivalent elasticity modulus;
the equivalent additional load is determined by the following equation:
Δ
⁢
q
soil
=
E
1
⁢
I
1
E
2
⁢
I
2
·
q
soil
,
Δqsoil is the equivalent additional load, E1 is the first equivalent elasticity modulus, I1 is the first equivalent section inertia moment, E2 is the second equivalent elasticity modulus, I2 is the second equivalent section inertia moment, and qsoil is the pipe top linear load;
the pipe top inner wall tensile stress is determined by the following equations:
σ
s
=
M
⁢
E
3
E
1
⁢
J
a
+
E
3
⁢
J
b
·
R
⁢
y
′
R
-
y
′
-
M
⁢
E
3
(
E
1
⁢
A
a
+
E
3
⁢
A
b
)
·
R
,
J
a
=
R
3
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
1
(
1
+
β
⁢
η
)
2
⁢
R
-
t
1
+
(
2
⁢
R
+
t
3
)
·
β
⁢
η
)
+
Rbt
1
·
(
βη
·
(
t
1
+
f
3
)
2
+
2
⁢
β
⁢
η
-
R
)
,
J
b
=
R
3
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
3
(
1
+
β
⁢
η
)
2
⁢
R
-
t
1
+
(
2
⁢
R
-
t
3
)
·
βη
-
2
⁢
t
3
)
-
R
⁢
b
⁢
t
3
·
(
1
+
β
2
+
2
⁢
β
⁢
η
·
t
1
+
R
)
,
β
=
t
3
t
1
,
η
=
E
3
E
1
,
where σs is the pipe top inner wall tensile stress, and R is a radius of an equivalent neutral axis of the repaired existing pipe;
y′ is a distance between the equivalent neutral axis of the repaired existing pipe and the inner wall of the mortar lining;
E1 is the first equivalent elasticity modulus;
E3 is the elasticity modulus of the mortar lining;
t1 is a first mean residual wall thickness of the existing pipe in the current state;
t3 is the mortar lining wall thickness assumed value;
Aa is a sectional area of the existing pipe within a unit length;
and Ab is a sectional area of the mortar lining with the unit length;
the interfacial tensile stress between the existing pipe and the mortar lining is determined by the following equations:
σ
r
=
(
ME
3
E
1
⁢
J
a
+
E
3
⁢
J
b
·
K
b
-
ME
3
(
E
1
⁢
A
a
+
E
3
⁢
A
b
)
·
R
·
A
b
)
·
1
b
·
(
R
+
t
3
-
y
′
)
,
K
b
=
R
2
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
3
(
1
+
β
⁢
η
)
(
2
⁢
R
-
t
3
)
·
(
1
+
β
⁢
η
)
-
(
t
1
+
t
3
)
)
-
Rbt
3
,
where σr is the interfacial tensile stress between the existing pipe and the mortar lining;
the interfacial shearing stress between the existing pipe and the mortar lining is determined by the following equations:
τ
r
=
RF
Q
b
·
(
R
+
t
3
-
y
′
)
·
(
E
3
⁢
K
b
E
1
⁢
J
a
+
E
3
⁢
J
b
-
1
R
·
3
⁢
E
1
2
⁢
t
1
3
+
4
⁢
E
1
2
⁢
t
1
2
⁢
t
3
+
3
⁢
E
1
⁢
E
3
⁢
t
1
2
⁢
t
3
+
5
⁢
E
1
⁢
E
3
⁢
t
3
2
+
E
3
2
⁢
t
3
3
E
1
⁢
t
1
⁢
t
3
·
(
E
1
⁢
t
1
+
E
3
⁢
t
3
)
⁢
k
)
,
k
=
4
+
6
·
t
1
t
3
+
4
·
(
t
1
t
3
)
2
+
E
1
E
3
·
(
t
1
t
3
)
3
+
E
1
E
3
·
t
1
t
3
,
where τr is the interfacial shearing stress between the existing pipe and the mortar lining;
the y′, R, Aa, and Ab are determined by the following equations:
y
′
=
E
1
⁢
t
1
2
+
2
⁢
E
1
⁢
t
1
⁢
t
3
+
E
3
⁢
t
3
2
2
⁢
E
1
⁢
t
1
+
2
⁢
E
3
⁢
t
3
,
R
=
D
2
+
y
′
-
t
1
-
t
3
,
A
a
=
t
1
·
b
,
A
b
=
t
3
·
b
where b represents the unit length.

646 more elements

A mortar lining wall thickness design device, comprising:

a first determination unit, configured to determine a first equivalent elasticity modulus of an existing pipe in a current state and a second equivalent elasticity modulus of the existing pipe reaching a repaired design service life based on defect data of the existing pipe;
a second determination unit, configured to determine a pipe top vertical deformation of the existing pipe reaching the repaired design service life based on a pipe top linear load on a unit length and the second equivalent elasticity modulus of the existing pipe;
a third determination unit, configured to determine an equivalent additional load needed to be applied to the existing pipe reaching the pipe top vertical deformation in the current state according to the first equivalent elasticity modulus, the second equivalent elasticity modulus, and the pipe top linear load;
a fourth determination unit, configured to determine a stress state parameter of the existing pipe repaired according to a mortar lining wall thickness assumed value based on the equivalent additional load and the mortar lining wall thickness assumed value;
and
a determining unit, configured to compare the stress state parameter with a standard strength parameter, and to determine whether the mortar lining wall thickness assumed value is taken as a mortar lining target wall thickness value according to a comparative result;
wherein the fourth determination unit comprises a pipe top section internal force determination unit, configured to determine a pipe top section internal force of the repaired existing pipe under the action of the equivalent additional load based on the equivalent additional load;
and a stress state parameter determination unit, configured to determine the stress state parameter of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value and the pipe top section internal force;
the pipe top section internal force comprises a pipe top section bending moment and a pipe top section shearing force;
the stress state parameter determination unit comprises:
a first stress state parameter determination sub-unit, configured to determine a pipe top inner wall tensile stress of the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section bending moment, and attribute data of the existing pipe;
a second stress state parameter determination sub-unit, configured to determine an interfacial tensile stress between the existing pipe and the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section bending moment, and the attribute data of the existing pipe;
and a third stress state parameter determination sub-unit, configured to determine an interfacial shearing stress between the existing pipe and the mortar lining of the existing pipe repaired according to the mortar lining wall thickness assumed value based on the mortar lining wall thickness assumed value, the pipe top section shearing force, and the attribute data of the existing pipe, wherein the pipe top inner wall tensile stress, the interfacial tensile stress, and the interfacial shearing stress all belong to the stress state parameters;
wherein the pipe top section bending moment is determined by the following equation:
M
=
1
1
⁢
6
·
Δ
⁢
q
soil
⁢
D
2
,
where M represents the pipe top section bending moment, Δqsoil represents the equivalent additional load, and D represents a pipe outer diameter of the existing pipe;
the pipe top section shearing force is determined by the following equation:
F
Q
=
1
2
·
Δ
⁢
q
soil
⁢
D
,
where FQ is the pipe top section shearing force;
if an equivalent section inertia moment of the existing pipe in a service process does not change, the equivalent additional load is determined by the following equation:
Δ
⁢
q
soil
=
E
1
E
2
·
q
soil
,
Δqsoil is the equivalent additional load, E1 is the first equivalent elasticity modulus, E2 is the second equivalent elasticity modulus, and qsoil is the pipe top linear load;
if the equivalent section inertia moment of the existing pipe in the service process changes with increase of a service life, a first equivalent flexural rigidity of the existing pipe in the current state is determined in combination with a first equivalent section inertia moment and the first equivalent elasticity modulus of the existing pipe in the current state;
a second equivalent flexural rigidity of the existing pipe reaching the repaired design service life is determined in combination with a second equivalent section inertia moment of the existing pipe reaching the repaired design service life and the second equivalent elasticity modulus;
the equivalent additional load is determined by the following equation:
Δ
⁢
q
soil
=
E
1
⁢
I
1
E
2
⁢
I
2
·
q
soil
,
Δqsoil is the equivalent additional load, E1 is the first equivalent elasticity modulus, I1 is the first equivalent section inertia moment, E2 is the second equivalent elasticity modulus, I2 is the second equivalent section inertia moment, and qsoil is the pipe top linear load;
the pipe top inner wall tensile stress is determined by the following equations:
σ
s
=
M
⁢
E
3
E
1
⁢
J
a
+
E
3
⁢
J
b
·
Ry
′
R
-
y
′
-
M
⁢
E
3
(
E
1
⁢
A
a
+
E
3
⁢
A
b
)
·
R
,
J
a
=
R
3
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
1
(
1
+
βη
)
2
⁢
R
-
t
1
+
(
2
⁢
R
+
t
3
)
·
β
⁢
η
)
+
Rbt
1
·
(
β
⁢
η
⁡
(
t
1
+
t
3
)
2
+
2
⁢
β
⁢
η
-
R
)
,
J
b
=
R
3
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
3
(
1
+
β
⁢
η
)
2
⁢
R
-
t
1
+
(
2
⁢
R
-
t
3
)
·
β
⁢
η
-
2
⁢
t
3
)
-
R
⁢
b
⁢
t
3
·
(
1
+
β
2
+
2
⁢
β
⁢
η
+
t
1
+
R
)
,
β
=
t
3
t
1
,
η
=
E
3
E
1
,
where σs is the pipe top inner wall tensile stress, and R is a radius of an equivalent neutral axis of the repaired existing pipe;
y′ is a distance between the equivalent neutral axis of the repaired existing pipe and the inner wall of the mortar lining;
E1 is the first equivalent elasticity modulus;
E3 is the elasticity modulus of the mortar lining;
t1 is a first mean residual wall thickness of the existing pipe in the current state;
t3 is the mortar lining wall thickness assumed value;
Aa is a sectional area of the existing pipe within a unit length;
and Ab is a sectional area of the mortar lining with the unit length;
the interfacial tensile stress between the existing pipe and the mortar lining is determined by the following equations:
σ
r
=
(
MF
3
E
1
⁢
J
a
+
E
3
⁢
J
b
·
K
b
-
ME
3
(
E
1
⁢
A
a
+
E
3
⁢
A
b
)
·
R
·
A
b
)
·
1
b
·
(
R
+
t
3
-
y
′
)
,
K
b
=
R
2
⁢
b
·
ln
⁢
(
1
+
2
⁢
t
3
(
1
+
β
⁢
η
)
(
2
⁢
R
-
t
3
)
·
(
1
+
βη
)
-
(
t
1
+
t
3
)
)
-
Rbt
3
,
where σr is the interfacial tensile stress between the existing pipe and the mortar lining;
the interfacial shearing stress between the existing pipe and the mortar lining is determined by the following equations:
τ
r
=
RF
Q
b
·
(
R
+
t
3
-
y
′
)
·
(
E
3
⁢
K
b
E
1
⁢
J
a
+
E
3
⁢
J
b
-
1
R
·
3
⁢
E
1
2
⁢
t
1
3
+
4
⁢
E
1
2
⁢
t
1
2
⁢
t
3
+
3
⁢
E
1
⁢
E
3
⁢
t
1
2
⁢
t
3
+
5
⁢
E
1
⁢
E
3
⁢
t
1
⁢
t
3
2
+
E
3
2
⁢
t
3
3
E
1
⁢
t
1
⁢
t
3
·
(
E
1
⁢
t
1
+
E
3
⁢
t
3
)
⁢
k
)
,
k
=
4
+
6
·
t
1
t
3
+
4
·
(
t
1
t
3
)
2
+
E
1
E
3
·
(
t
1
t
3
)
3
+
E
1
E
3
·
t
1
t
3
,
where τr is the interfacial shearing stress between the existing pipe and the mortar lining;
y
′
=
E
1
⁢
t
1
2
+
2
⁢
E
1
⁢
t
1
⁢
t
3
+
E
3
⁢
t
3
2
2
⁢
E
1
⁢
t
1
+
2
⁢
E
3
⁢
t
3
,
where the y′, R, Aa, and Ab are determined by the following equation:
y
′
=
E
1
⁢
t
1
2
+
2
⁢
E
1
⁢
t
1
⁢
t
3
+
E
3
⁢
t
3
2
2
⁢
E
1
⁢
t
1
+
2
⁢
E
3
⁢
t
3
,
R
=
D
2
+
y
′
-
t
1
-
t
3
,
A
a
=
t
1
·
b
,
A
b
=
t
3
·
b
where b represents the unit length.

689 more elements

Mortar lining wall thickness design method and device, and pipe repairing method and device

Life of this patent

Mortar lining wall thickness design method and device, and pipe repairing method and device

Life of this patent

Abstract

Claims11